MATHEMATICS HIGH SCHOOL

Find the length of the side of a square with area 225 square units

Answers

Answer 1
Answer: A = l^(2);
Then, 225 = l^(2);
l^{} = √(225) = 15 unit;

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A bus is moving with a speed of 72 km/hr. Convert this speed to m/s.

Answers

Answer: 20m per second

Step-by-step explanation:

There are 1000 m in a km. This means that the bus is moving at a speed of 72000 m/hr.

There are 60 minutes in an hour. To find the speed per minute, you would divide both sides by 60.

(72000/60)m per (60/60)minute

1200 m per minute

There are 60 seconds in a minute. To find the speed per minute, you would divide both sides by 60.

(1200/60)m per (60/60)second

20m per second

Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find the cost of fencing the Orchard ?

Answers

Answer:

  AED 3400

Step-by-step explanation:

The perimeter of the rectangular orchard is twice the sum of length and width, so is ...

  P = 2(L+W) = 2(39 m +46 m) = 170 m

At a cost of 20/m, the cost of fence is ...

  cost = (AED 20/m)·(170 m) = AED 3400

Find the number that makes the ratio equivalent to 7:4.
:48

Answers

Answer:

84:48

Step-by-step explanation:

7:4 = x:48

7*48 = 4x

7*48/4 = x

x = 7*12 = 84

So, the equivalent ratio is 84:48

What percent is equivalent to the fraction 37/50?

Answers

Since percent is mostly common as a fraction with a denominator of 100, we'll convert the fraction 37/50 to x/100. To convert 50 to 100, you multiply 50 by 2, so you are also going to multiply 37 by 2, which is 74. Now we have the fraction 74/100, so now since the fraction is over 100, we can convert it to a percentage.

So 74% is equal to the fraction 37/50.

The given fraction is equivalent to a percentage of 74%.

One of the parts of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator is divided by the denominator.

When a fraction of a whole is represented as a number between 0 and 100, it is called a percentage.

To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

The given fraction is 37/50. In order to calculate the percentage of this fraction, first we need to find the value of this fraction and then multiply the resulting value with 100.

So,

37/50 = 0.74

Multiplying the value with 100,

Percentage of 0.74 = 0.74 x 100 = 74%

To learn more about percentage, click:

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A function f (x)=-8x^2. What is f (-3)?

Answers

f(x) = -8x²

To find the value of f(-3), put -3 in place of 'x' in the definition of the function.

f(-3) = -8(-3)²

f(-3) = -8(9) = -72
f(x)= -8x²

f(-3)= -8* (-3)²

f(-3)= -8 * 9

f(-3)= -72

Pls help meeeeeeeeeeeeee

Answers

Answer:

the right answer is:

  • (A) 2+(1)/(2)a

Step-by-step explanation:

You take the equations that the exercise give you:

  1. x + y = 4
  2. x - y = a

Now you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:

  • x - y = a
  • -y = a - x

   3. y =  x - a

And now, you'll replace this third equation in the equation you didn't take (the first in this case).

  • x + y = 4
  • x + (x - a) = 4
  • x + x - a = 4

Add the x variables:

  • 2x - a = 4
  • 2x = 4 + a
  • x = (4 + a) / 2

That's the answer of the exercise, but you can represent this in this form:

  • x = (4 + a) / 2    ↔  x = (4)/(2) + (1)/(2) a
  • x = (4 + a) / 2    ↔  x = 2+ (1)/(2) a

By this reason, the right answer is x = 2+ (1)/(2) a.
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